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Finding the Third Proportional to 8,424,142 and 18,193,204

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Solution

The third proportional to 8,424,142 and 18,193,204 is: 39,290,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424,142 : 18,193,204 = 18,193,204 : x
  2. Step 2: Convert to fraction form
    8,424,142/18,193,204 = 18,193,204/x
  3. Step 3: Cross multiply
    8,424,142x = 18,193,204 × 18,193,204
  4. Step 4: Simplify right side
    8,424,142x = 330,992,671,785,616
  5. Step 5: Solve for x
    x = 330,992,671,785,616/8,424,142
  6. Step 6: Final answer
    x = 39,290,965.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.